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Finding the Fourth Proportional to 1,107.84, 1,661.43 and 377.25

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Solution

The fourth proportional to 1,107.84, 1,661.43 and 377.25 is: 565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.84 : 1,661.43 = 377.25 : x
  2. Step 2: Convert to fraction form
    1,107.84/1,661.43 = 377.25/x
  3. Step 3: Cross multiply
    1,107.84x = 1,661.43 × 377.25
  4. Step 4: Simplify right side
    1,107.84x = 626,774.47
  5. Step 5: Solve for x
    x = 626,774.47/1,107.84
  6. Step 6: Final answer
    x = 565.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.